Question

The block diagram of a speed control system with a de motor is shown below. \text{Gp(s)} \omega_d +\\ e \text{e*} \nu + \text{T} \text{Microprocessor} \text{G}_c(z) \text{zoh} \frac{1}{R+Ls} \text{K}_a \text{T} +\\ \frac{1}{B+Js} \omega \text{Assume that, the process transfer function is} \text{K}_b \text{G}_p(s) = \frac{244680.85}{(s + 297.456)(s + 879.844)} The sampling period is T = 0.001 s. The digital controller has the transfer function D(z) = K_p + \frac{K_R T}{2} \frac{z+1}{z-1} Find the values of Kp and KR, so that the following specifications are satisfied. a) Unit-step response reaches unity in less than 0.02 s. b) Maximum overshoot is less than 0.5 percent. Design D(z) so that its zero cancels one of the poles of G_{ho}G_p(z). Plot the unit-step response of the compensated system

          The block diagram of a speed control system with a de motor is shown below.
\text{Gp(s)}
\omega_d
+\\
e
\text{e*}
\nu
+
\text{T}
\text{Microprocessor}
\text{G}_c(z)
\text{zoh}
\frac{1}{R+Ls}
\text{K}_a
\text{T}
+\\
\frac{1}{B+Js}
\omega
\text{Assume that, the process transfer function is}
\text{K}_b
\text{G}_p(s) = \frac{244680.85}{(s + 297.456)(s + 879.844)}
The sampling period is T = 0.001 s. The digital controller has the transfer function
D(z) = K_p + \frac{K_R T}{2} \frac{z+1}{z-1}
Find the values of Kp and KR, so that the following specifications are satisfied.
a) Unit-step response reaches unity in less than 0.02 s.
b) Maximum overshoot is less than 0.5 percent.
Design D(z) so that its zero cancels one of the poles of G_{ho}G_p(z). Plot the unit-step response of the
compensated system

The block diagram of a speed control system with a de motor is shown below.
Gp(s)
+

e
e*
ν+
T
Microprocessor
Gc(z)
zoh
(1)/(R+Ls)
Ka
T
+

(1)/(B+Js)
ωAssume that, the process transfer function is
Kb
Gp(s) = (244680.85)/((s + 297.456)(s + 879.844))
The sampling period is T = 0.001 s. The digital controller has the transfer function
D(z) = Kp + (KR T)/(2) (z+1)/(z-1)
Find the values of Kp and KR, so that the following specifications are satisfied.
a) Unit-step response reaches unity in less than 0.02 s.
b) Maximum overshoot is less than 0.5 percent.
Design D(z) so that its zero cancels one of the poles of GhoGp(z). Plot the unit-step response of the
compensated system

Added by Catherine P.

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